%------------------------------------------------------------------------------
% File : Vampire---5.0.1
% Problem : NUM058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% Transfm : none
% Format : tptp:raw
% Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% Computer : n015.cluster.edu
% Model : x86_64 x86_64
% CPU : Intel(R) Xeon(R) CPU E5-2620 v4 2.10GHz
% Memory : 8046.5625MB
% OS : Linux 6.8.0-71-generic
% CPULimit : 300s
% WCLimit : 300s
% DateTime : Tue Sep 29 12:11:40 PM UTC 2026
% Result : Unsatisfiable 6.61s 1.96s
% Output : Refutation 8.35s
% Verified :
% SZS Type : Refutation
% Derivation depth : 16
% Number of leaves : 23
% Syntax : Number of formulae : 69 ( 34 unt; 4 def)
% Number of atoms : 113 ( 48 equ)
% Maximal formula atoms : 3 ( 1 avg)
% Number of connectives : 87 ( 43 ~; 44 |; 0 &)
% ( 0 <=>; 0 =>; 0 <=; 0 <~>)
% Maximal formula depth : 9 ( 3 avg)
% Maximal term depth : 5 ( 1 avg)
% Number of predicates : 4 ( 2 usr; 1 prp; 0-2 aty)
% Number of functors : 21 ( 21 usr; 9 con; 0-3 aty)
% Number of variables : 94 ( 94 !; 0 ?)
% Comments :
%------------------------------------------------------------------------------
fof(f1,axiom,
! [X2,X0,X1] :
( member(X2,X1)
| ~ member(X2,X0)
| ~ subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_members) ).
fof(f2,axiom,
! [X0,X1] :
( member(not_subclass_element(X0,X1),X0)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members1) ).
fof(f3,axiom,
! [X0,X1] :
( ~ member(not_subclass_element(X0,X1),X1)
| subclass(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',not_subclass_members2) ).
fof(f4,axiom,
! [X0] : subclass(X0,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',class_elements_are_sets) ).
fof(f7,axiom,
! [X0,X1] :
( ~ subclass(X1,X0)
| ~ subclass(X0,X1)
| X0 = X1 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',subclass_implies_equal) ).
fof(f8,axiom,
! [X2,X0,X1] :
( ~ member(X0,unordered_pair(X1,X2))
| X0 = X1
| X0 = X2 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',unordered_pair_member) ).
fof(f12,axiom,
! [X0] : unordered_pair(X0,X0) = singleton(X0),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',singleton_set) ).
fof(f13,axiom,
! [X0,X1] : unordered_pair(singleton(X0),unordered_pair(X0,singleton(X1))) = ordered_pair(X0,X1),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',ordered_pair) ).
fof(f15,axiom,
! [X2,X3,X0,X1] :
( ~ member(ordered_pair(X0,X1),cross_product(X2,X3))
| member(X1,X3) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product2) ).
fof(f17,axiom,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X1,X2))
| ordered_pair(first(X0),second(X0)) = X0 ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',cartesian_product4) ).
fof(f21,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X1) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection1) ).
fof(f22,axiom,
! [X2,X0,X1] :
( ~ member(X0,intersection(X1,X2))
| member(X0,X2) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',intersection2) ).
fof(f28,axiom,
! [X2,X0,X1] : intersection(X0,cross_product(X1,X2)) = restrict(X0,X1,X2),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',restriction1) ).
fof(f30,axiom,
! [X0,X1] :
( restrict(X0,singleton(X1),universal_class) != null_class
| ~ member(X1,domain_of(X0)) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',domain1) ).
fof(f67,axiom,
! [X0] :
( X0 = null_class
| member(regular(X0),X0) ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity1) ).
fof(f68,plain,
! [X0] :
( member(regular(X0),X0)
| null_class = X0 ),
inference(reorient_equations,[],[f67]) ).
fof(f69,axiom,
! [X0] :
( X0 = null_class
| intersection(X0,regular(X0)) = null_class ),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',regularity2) ).
fof(f70,plain,
! [X0] :
( null_class = intersection(X0,regular(X0))
| null_class = X0 ),
inference(reorient_equations,[],[f69]) ).
fof(f133,axiom,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(restrict(X0,X1,singleton(X2))),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',segment) ).
fof(f176,negated_conjecture,
~ member(z,universal_class),
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property2_1) ).
fof(f177,negated_conjecture,
segment(xr,y,z) != null_class,
file('/export/starexec/sandbox/benchmark/theBenchmark.p',prove_segments_property2_2) ).
fof(f178,plain,
null_class != segment(xr,y,z),
inference(reorient_equations,[],[f177]) ).
fof(f179,plain,
! [X0,X1] : ordered_pair(X0,X1) = unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),
inference(definition_unfolding,[],[f13,f12,f12]) ).
fof(f193,plain,
! [X2,X0,X1] : segment(X0,X1,X2) = domain_of(intersection(X0,cross_product(X1,unordered_pair(X2,X2)))),
inference(definition_unfolding,[],[f133,f28,f12]) ).
fof(f197,plain,
! [X2,X3,X0,X1] :
( ~ member(unordered_pair(unordered_pair(X0,X0),unordered_pair(X0,unordered_pair(X1,X1))),cross_product(X2,X3))
| member(X1,X3) ),
inference(definition_unfolding,[],[f15,f179]) ).
fof(f199,plain,
! [X2,X0,X1] :
( unordered_pair(unordered_pair(first(X0),first(X0)),unordered_pair(first(X0),unordered_pair(second(X0),second(X0)))) = X0
| ~ member(X0,cross_product(X1,X2)) ),
inference(definition_unfolding,[],[f17,f179]) ).
fof(f203,plain,
! [X0,X1] :
( null_class != intersection(X0,cross_product(unordered_pair(X1,X1),universal_class))
| ~ member(X1,domain_of(X0)) ),
inference(definition_unfolding,[],[f30,f28,f12]) ).
fof(f269,plain,
null_class != domain_of(intersection(xr,cross_product(y,unordered_pair(z,z)))),
inference(definition_unfolding,[],[f178,f193]) ).
fof(f276,definition,
sF0 = unordered_pair(z,z),
introduced(definition,[new_symbols(definition,[sF0])],[function_definition]) ).
fof(f277,plain,
unordered_pair(z,z) = sF0,
inference(reorient_equations,[],[f276]) ).
fof(f278,definition,
sF1 = cross_product(y,sF0),
introduced(definition,[new_symbols(definition,[sF1])],[function_definition]) ).
fof(f279,plain,
cross_product(y,sF0) = sF1,
inference(reorient_equations,[],[f278]) ).
fof(f280,definition,
sF2 = intersection(xr,sF1),
introduced(definition,[new_symbols(definition,[sF2])],[function_definition]) ).
fof(f281,plain,
intersection(xr,sF1) = sF2,
inference(reorient_equations,[],[f280]) ).
fof(f282,definition,
sF3 = domain_of(sF2),
introduced(definition,[new_symbols(definition,[sF3])],[function_definition]) ).
fof(f283,plain,
domain_of(sF2) = sF3,
inference(reorient_equations,[],[f282]) ).
fof(f284,plain,
null_class != sF3,
inference(definition_folding,[],[f269,f283,f281,f279,f277]) ).
fof(f291,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X1)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f22]) ).
fof(f292,plain,
! [X2,X0,X1] :
( member(not_subclass_element(intersection(X0,X1),X2),X0)
| subclass(intersection(X0,X1),X2) ),
inference(resolution,[],[f2,f21]) ).
fof(f293,plain,
! [X0] :
( ~ member(z,X0)
| ~ subclass(X0,universal_class) ),
inference(resolution,[],[f1,f176]) ).
fof(f296,plain,
! [X0] : ~ member(z,X0),
inference(forward_subsumption_resolution,[],[f293,f4]) ).
fof(f300,plain,
! [X0] :
( ~ member(X0,sF0)
| z = X0
| z = X0 ),
inference(superposition,[],[f8,f277]) ).
fof(f301,plain,
! [X0] :
( ~ member(X0,sF0)
| z = X0 ),
inference(duplicate_literal_removal,[],[f300]) ).
fof(f374,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X0)
| subclass(intersection(X0,X1),X0) ),
inference(resolution,[],[f292,f3]) ).
fof(f382,plain,
! [X0,X1] : subclass(intersection(X0,X1),X0),
inference(duplicate_literal_removal,[],[f374]) ).
fof(f386,plain,
! [X0,X1] :
( subclass(intersection(X0,X1),X1)
| subclass(intersection(X0,X1),X1) ),
inference(resolution,[],[f291,f3]) ).
fof(f394,plain,
! [X0,X1] : subclass(intersection(X0,X1),X1),
inference(duplicate_literal_removal,[],[f386]) ).
fof(f397,plain,
! [X0] :
( subclass(null_class,X0)
| null_class = X0 ),
inference(superposition,[],[f382,f70]) ).
fof(f399,plain,
! [X0] :
( null_class = X0
| ~ subclass(X0,null_class)
| null_class = X0 ),
inference(resolution,[],[f397,f7]) ).
fof(f400,plain,
! [X0] :
( ~ subclass(X0,null_class)
| null_class = X0 ),
inference(duplicate_literal_removal,[],[f399]) ).
fof(f401,plain,
! [X0] : null_class = intersection(null_class,X0),
inference(resolution,[],[f400,f382]) ).
fof(f410,plain,
! [X0] :
( null_class != null_class
| ~ member(X0,domain_of(null_class)) ),
inference(superposition,[],[f203,f401]) ).
fof(f411,plain,
! [X0] : ~ member(X0,domain_of(null_class)),
inference(trivial_inequality_removal,[],[f410]) ).
fof(f416,plain,
null_class = domain_of(null_class),
inference(resolution,[],[f411,f68]) ).
fof(f433,plain,
! [X0] : null_class = intersection(X0,null_class),
inference(resolution,[],[f394,f400]) ).
fof(f448,plain,
! [X2,X3,X0,X1,X4] :
( ~ member(X0,cross_product(X3,X4))
| member(second(X0),X2)
| ~ member(X0,cross_product(X1,X2)) ),
inference(superposition,[],[f197,f199]) ).
fof(f463,plain,
! [X2,X0,X1] :
( ~ member(X0,cross_product(X2,X1))
| member(second(X0),X1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f448,f279]) ).
fof(f483,plain,
! [X0] :
( ~ member(X0,sF1)
| member(second(X0),sF0)
| ~ member(X0,sF1) ),
inference(superposition,[],[f463,f279]) ).
fof(f484,plain,
! [X0] :
( member(second(X0),sF0)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f483]) ).
fof(f485,plain,
! [X0] :
( second(X0) = z
| ~ member(X0,sF1) ),
inference(resolution,[],[f484,f301]) ).
fof(f487,plain,
! [X0] :
( member(z,sF0)
| ~ member(X0,sF1)
| ~ member(X0,sF1) ),
inference(superposition,[],[f484,f485]) ).
fof(f492,plain,
! [X0] :
( member(z,sF0)
| ~ member(X0,sF1) ),
inference(duplicate_literal_removal,[],[f487]) ).
fof(f494,plain,
! [X0] : ~ member(X0,sF1),
inference(forward_subsumption_resolution,[],[f492,f296]) ).
fof(f500,plain,
null_class = sF1,
inference(resolution,[],[f494,f68]) ).
fof(f502,plain,
sF2 = intersection(xr,null_class),
inference(backward_demodulation,[],[f281,f500]) ).
fof(f540,plain,
null_class = sF2,
inference(forward_demodulation,[],[f502,f433]) ).
fof(f543,plain,
sF3 = domain_of(null_class),
inference(backward_demodulation,[],[f283,f540]) ).
fof(f563,plain,
null_class = sF3,
inference(forward_demodulation,[],[f543,f416]) ).
fof(f564,plain,
$false,
inference(forward_subsumption_resolution,[],[f563,f284]) ).
%------------------------------------------------------------------------------
%----ORIGINAL SYSTEM OUTPUT
% 0.00/0.02 % Problem : NUM058-1 : TPTP v9.3.1. Bugfixed v2.1.0.
% 0.00/0.05 % Command : run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.38 % Computer : n015.cluster.edu
% 0.13/0.38 % Model : x86_64 x86_64
% 0.13/0.38 % CPU : Intel(R) Xeon(R) CPU E5-2620 v4 @ 2.10GHz
% 0.13/0.38 % Memory : 8046.5625MB
% 0.13/0.38 % OS : Linux 6.8.0-71-generic
% 0.13/0.39 % CPULimit : 300
% 0.13/0.39 % WCLimit : 300
% 0.13/0.39 % DateTime : Sun Sep 27 18:49:39 UTC 2026
% 0.13/0.39 % CPUTime :
% 0.13/0.39 Running run_vampire /export/starexec/sandbox/benchmark/theBenchmark.p 300 THM
% 0.13/0.42 Running first-order theorem proving
% 0.13/0.42 Running: /export/starexec/sandbox/solver/bin/vampire --input_syntax tptp --output_axiom_names on --mode casc -m 16384 --cores 7 -t 300 /export/starexec/sandbox/benchmark/theBenchmark.p
% 6.61/1.96 % (1941878)Input is clausal, will run a generic CNF schedule.
% 6.61/1.96 % (1941883)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=full:npcc=on:drc=off:sp=weighted_frequency:spb=goal:fd=preordered:foolp=on:random_seed=2433165396:i=140167_2999 on theBenchmark for (2999ds/140167Mi)
% 6.61/1.96 % (1941885)lrs+1002_1_ncem=casc2026/models/loop8.pt:sil=128000:tgt=ground:npcc=on:sp=reverse_frequency:spb=intro:random_seed=3194666417:i=137899:s2at=10:gtgl=3:kws=precedence:add=on:bd=preordered:gtg=position_2999 on theBenchmark for (2999ds/137899Mi)
% 6.61/1.96 % (1941886)lrs+10_1_sil=8000:sp=occurrence:random_seed=3077072812:i=107:sd=3:ss=axioms:sgt=8_2999 on theBenchmark for (2999ds/107Mi)
% 6.61/1.96 % (1941884)lrs+10_1_ncem=casc2026/models/loop8.pt:sil=128000:npcc=on:urr=on:br=off:random_seed=2305664530:i=132376:av=off_2999 on theBenchmark for (2999ds/132376Mi)
% 6.61/1.96 % (1941889)dis-21_1_sil=8000:lcm=predicate:random_seed=1067690539:st=5:avsq=on:i=117:avsqr=1,16:sd=3:aac=none:ep=RS:fsr=off:ss=included_2999 on theBenchmark for (2999ds/117Mi)
% 6.61/1.96 % (1941887)dis-1002_1_to=lpo:sil=16000:fd=off:random_seed=40201003:st=1.5:i=114:aac=none:ins=7:ss=axioms:fsd=on_2999 on theBenchmark for (2999ds/114Mi)
% 6.61/1.96 % (1941888)dis-1011_1_sil=16000:fde=unused:s2agt=70:random_seed=3954621099:s2a=on:i=180:gtg=position_2999 on theBenchmark for (2999ds/180Mi)
% 6.61/1.96 % (1941886)Instruction limit reached!
% 6.61/1.96 % (1941886)------------------------------
% 6.61/1.96 % (1941886)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941886)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941886)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941886)Termination reason: Instruction limit
% 6.61/1.96 % (1941886)Termination phase: Saturation
% 6.61/1.96 % (1941886)Time elapsed: 0.040 s
% 6.61/1.96 % (1941886)Peak memory usage: 88 MB
% 6.61/1.96 % (1941886)Instructions burned: 107 (million)
% 6.61/1.96 % (1941889)Instruction limit reached!
% 6.61/1.96 % (1941889)------------------------------
% 6.61/1.96 % (1941889)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941889)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941889)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941889)Termination reason: Instruction limit
% 6.61/1.96 % (1941889)Termination phase: Saturation
% 6.61/1.96 % (1941889)Time elapsed: 0.066 s
% 6.61/1.96 % (1941889)Peak memory usage: 88 MB
% 6.61/1.96 % (1941889)Instructions burned: 118 (million)
% 6.61/1.96 % (1941887)Instruction limit reached!
% 6.61/1.96 % (1941887)------------------------------
% 6.61/1.96 % (1941887)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941887)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941887)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941887)Termination reason: Instruction limit
% 6.61/1.96 % (1941887)Termination phase: Saturation
% 6.61/1.96 % (1941887)Time elapsed: 0.071 s
% 6.61/1.96 % (1941887)Peak memory usage: 89 MB
% 6.61/1.96 % (1941887)Instructions burned: 115 (million)
% 6.61/1.96 % (1941888)Instruction limit reached!
% 6.61/1.96 % (1941888)------------------------------
% 6.61/1.96 % (1941888)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941888)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941888)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941888)Termination reason: Instruction limit
% 6.61/1.96 % (1941888)Termination phase: Saturation
% 6.61/1.96 % (1941888)Time elapsed: 0.138 s
% 6.61/1.96 % (1941888)Peak memory usage: 90 MB
% 6.61/1.96 % (1941888)Instructions burned: 181 (million)
% 6.61/1.96 % (1941897)dis+1010_3_sil=8000:plsq=on:drc=off:fde=none:plsqc=1:bsd=on:plsqr=7,2:sos=on:spb=goal_then_units:random_seed=4144315601:i=143:sd=2:aac=none:ss=axioms:sgt=16_2998 on theBenchmark for (2998ds/143Mi)
% 6.61/1.96 % (1941897)Refutation not found, incomplete strategy
% 6.61/1.96 % (1941897)------------------------------
% 6.61/1.96 % (1941897)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941897)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941897)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941897)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1941897)Time elapsed: 0.002 s
% 6.61/1.96 % (1941897)Peak memory usage: 88 MB
% 6.61/1.96 % (1941897)Instructions burned: 2 (million)
% 6.61/1.96 % (1941899)lrs-1002_1_to=lpo:sil=8000:fde=none:sos=on:random_seed=2654616600:st=4:i=219:sd=3:ss=axioms_2997 on theBenchmark for (2997ds/219Mi)
% 6.61/1.96 % (1941898)ott-1010_1_to=lpo:sil=16000:sos=on:spb=units:urr=on:bce=on:br=off:random_seed=1949830574:st=3:avsq=on:s2a=on:i=189:s2at=1.2:avsqr=1,16:sd=2:bd=all:nm=64:ss=axioms:sgt=30_2997 on theBenchmark for (2997ds/189Mi)
% 6.61/1.96 % (1941900)lrs+10_64_to=lpo:sil=8000:random_seed=2578294644:i=126:bd=preordered_2997 on theBenchmark for (2997ds/126Mi)
% 6.61/1.96 % (1941898)Instruction limit reached!
% 6.61/1.96 % (1941898)------------------------------
% 6.61/1.96 % (1941898)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941898)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941898)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941898)Termination reason: Instruction limit
% 6.61/1.96 % (1941898)Termination phase: Saturation
% 6.61/1.96 % (1941898)Time elapsed: 0.111 s
% 6.61/1.96 % (1941898)Peak memory usage: 90 MB
% 6.61/1.96 % (1941898)Instructions burned: 191 (million)
% 6.61/1.96 % (1941899)Instruction limit reached!
% 6.61/1.96 % (1941899)------------------------------
% 6.61/1.96 % (1941899)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941899)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941899)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941899)Termination reason: Instruction limit
% 6.61/1.96 % (1941899)Termination phase: Saturation
% 6.61/1.96 % (1941899)Time elapsed: 0.144 s
% 6.61/1.96 % (1941899)Peak memory usage: 89 MB
% 6.61/1.96 % (1941899)Instructions burned: 220 (million)
% 6.61/1.96 % (1941900)Instruction limit reached!
% 6.61/1.96 % (1941900)------------------------------
% 6.61/1.96 % (1941900)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941900)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941900)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941900)Termination reason: Instruction limit
% 6.61/1.96 % (1941900)Termination phase: Saturation
% 6.61/1.96 % (1941900)Time elapsed: 0.081 s
% 6.61/1.96 % (1941900)Peak memory usage: 89 MB
% 6.61/1.96 % (1941900)Instructions burned: 126 (million)
% 6.61/1.96 % (1941897)------------------------------
% 6.61/1.96 % (1941897)------------------------------
% 6.61/1.96 % (1941905)lrs+1011_16_to=lpo:sil=8000:drc=off:sp=reverse_frequency:spb=goal_then_units:random_seed=180691789:avsq=on:i=194:fgj=on:bd=preordered_2995 on theBenchmark for (2995ds/194Mi)
% 6.61/1.96 % (1941906)lrs+10_1_sil=8000:tgt=full:acc=on:random_seed=3092006383:i=157:gtg=all_2995 on theBenchmark for (2995ds/157Mi)
% 6.61/1.96 % (1941907)lrs+10_1_ncem=casc2026/models/loop7.pt:sil=128000:npcc=on:random_seed=521412115:i=3394:sd=4:ss=included:sgt=64_2994 on theBenchmark for (2994ds/3394Mi)
% 6.61/1.96 % (1941905)Instruction limit reached!
% 6.61/1.96 % (1941905)------------------------------
% 6.61/1.96 % (1941905)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941905)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941905)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941905)Termination reason: Instruction limit
% 6.61/1.96 % (1941905)Termination phase: Saturation
% 6.61/1.96 % (1941905)Time elapsed: 0.094 s
% 6.61/1.96 % (1941905)Peak memory usage: 89 MB
% 6.61/1.96 % (1941905)Instructions burned: 196 (million)
% 6.61/1.96 % (1941908)lrs+1011_5_to=lpo:sil=8000:tgt=full:plsq=on:prc=on:drc=off:plsqr=31,4:sp=occurrence:urr=on:nwc=0.8:s2agt=16:br=off:random_seed=621911801:cts=off:s2a=on:i=106:fsr=off:gsp=on:ss=axioms:sgt=16:rawr=on_2994 on theBenchmark for (2994ds/106Mi)
% 6.61/1.96 % (1941906)Instruction limit reached!
% 6.61/1.96 % (1941906)------------------------------
% 6.61/1.96 % (1941906)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941906)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941906)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941906)Termination reason: Instruction limit
% 6.61/1.96 % (1941906)Termination phase: Saturation
% 6.61/1.96 % (1941906)Time elapsed: 0.112 s
% 6.61/1.96 % (1941906)Peak memory usage: 91 MB
% 6.61/1.96 % (1941906)Instructions burned: 158 (million)
% 6.61/1.96 % (1941908)Instruction limit reached!
% 6.61/1.96 % (1941908)------------------------------
% 6.61/1.96 % (1941908)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941908)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941908)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941908)Termination reason: Instruction limit
% 6.61/1.96 % (1941908)Termination phase: Saturation
% 6.61/1.96 % (1941908)Time elapsed: 0.061 s
% 6.61/1.96 % (1941908)Peak memory usage: 90 MB
% 6.61/1.96 % (1941908)Instructions burned: 106 (million)
% 6.61/1.96 % (1941912)lrs+2_4096_sil=8000:plsq=on:plsqr=12672147,131072:sos=on:spb=goal:lcm=predicate:random_seed=3781847711:i=107_2993 on theBenchmark for (2993ds/107Mi)
% 6.61/1.96 % (1941912)Refutation not found, incomplete strategy
% 6.61/1.96 % (1941912)------------------------------
% 6.61/1.96 % (1941912)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941912)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941912)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941912)Termination reason: Refutation not found, incomplete strategy
% 6.61/1.96 % (1941912)Time elapsed: 0.007 s
% 6.61/1.96 % (1941912)Peak memory usage: 88 MB
% 6.61/1.96 % (1941912)Instructions burned: 11 (million)
% 6.61/1.96 % (1941885)First to succeed.
% 6.61/1.96 % (1941885)Solution written to "/export/starexec/sandbox/tmp/vampire-proof-1941878"
% 6.61/1.96 % (1941914)lrs+1011_20_sil=64000:tgt=ground:plsq=on:fde=unused:plsqc=1:plsqr=14,1:plsql=on:nwc=0.6:random_seed=1067197735:st=6:i=242:gtgl=5:kws=arity_squared:av=off:gtg=exists_sym:ss=included_2992 on theBenchmark for (2992ds/242Mi)
% 6.61/1.96 % (1941915)lrs+1010_1_ncem=casc2026/models/all5champsBiggishL14.pt:sil=16000:tgt=ground:npcc=on:sims=off:random_seed=3935356222:cond=fast:i=5208:av=off_2992 on theBenchmark for (2992ds/5208Mi)
% 6.61/1.96 % (1941883)Also succeeded, but the first one will report.
% 6.61/1.96 % (1941914)Instruction limit reached!
% 6.61/1.96 % (1941914)------------------------------
% 6.61/1.96 % (1941914)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 6.61/1.96 % (1941914)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 6.61/1.96 % (1941914)CaDiCaL version: 2.1.3
% 6.61/1.96 % (1941914)Termination reason: Instruction limit
% 6.61/1.96 % (1941914)Termination phase: Saturation
% 6.61/1.96 % (1941914)Time elapsed: 0.144 s
% 6.61/1.96 % (1941914)Peak memory usage: 91 MB
% 6.61/1.96 % (1941914)Instructions burned: 244 (million)
% 6.61/1.96 % (1941912)------------------------------
% 6.61/1.96 % (1941912)------------------------------
% 6.61/1.96 % (1941885)Refutation found. Thanks to Tanya!
% 6.61/1.96 % SZS status Unsatisfiable for theBenchmark
% 6.61/1.96 % SZS output start Proof for theBenchmark
% See solution above
% 8.35/2.15 % (1941885)------------------------------
% 8.35/2.15 % (1941885)Version: Vampire 5.0.1 (Release build, commit ea8961452 on 2026-07-16 15:14:34 +0200)
% 8.35/2.15 % (1941885)Linked with Z3 4.14.0.0 3c47fd96cf5645d0c42b2c819d9e9a84380aa721 z3-4.8.4-9178-g3c47fd96c
% 8.35/2.15 % (1941885)CaDiCaL version: 2.1.3
% 8.35/2.15 % (1941885)Termination reason: Refutation
% 8.35/2.15 % (1941885)Time elapsed: 0.697 s
% 8.35/2.15 % (1941885)Peak memory usage: 130 MB
% 8.35/2.15 % (1941885)Instructions burned: 1063 (million)
% 8.35/2.15 % (1941885)------------------------------
% 8.35/2.15 % (1941885)------------------------------
% 8.35/2.15 % (1941878)Success in time 1.096 s
% 8.35/2.15 % Vampire exiting
%------------------------------------------------------------------------------